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Finding the Fourth Proportional to 27,871.96, 41,811.86 and 8,152

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Solution

The fourth proportional to 27,871.96, 41,811.86 and 8,152 is: 12,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.96 : 41,811.86 = 8,152 : x
  2. Step 2: Convert to fraction form
    27,871.96/41,811.86 = 8,152/x
  3. Step 3: Cross multiply
    27,871.96x = 41,811.86 × 8,152
  4. Step 4: Simplify right side
    27,871.96x = 340,850,282.72
  5. Step 5: Solve for x
    x = 340,850,282.72/27,871.96
  6. Step 6: Final answer
    x = 12,229.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.